A random sample of size nequals500 yielded ModifyingAbove p with caretequals0.30. a. Is the sample size large enough to use the large sample approximation to construct a confidence interval for p? Explain. b. Construct a 95% confidence interval for p. c. Interpret the 95% confidence interval. d. Explain what is meant by the phrase "95% confidence interval."

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Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?